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Finding the Third Proportional to 163,820 and 246,882

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Solution

The third proportional to 163,820 and 246,882 is: 372,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,820 : 246,882 = 246,882 : x
  2. Step 2: Convert to fraction form
    163,820/246,882 = 246,882/x
  3. Step 3: Cross multiply
    163,820x = 246,882 × 246,882
  4. Step 4: Simplify right side
    163,820x = 60,950,721,924
  5. Step 5: Solve for x
    x = 60,950,721,924/163,820
  6. Step 6: Final answer
    x = 372,059.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.